Following [1]}, the solvable radical \({s}{}=Z()^\circ \)  is a \(k\) -torus.
Since \(Z(G)=Z()(k)\)  is compact we get that the solvable radical \({s}{G}\)  is a sealed normal subgroup.
The algebraic \(k\) -group \(/{s}{}\)  is a connected semisimple \(k\) -group, and the quotient group \(G/{s}{G}\)  is isomorphic to a finite index subgroup of \(/{s}{}\)  [2]}.
Hence by Corollary REF , \(G/{s}{G}\)  is sealed.
We get by the three spaces property for sealed groups, Lemma REF , that the group \(G\)  is sealed.
